Quaternion Generalization of Super Poincare Group
Bhupendra C. S. Chauhan, O. P. S. Negi
TL;DR
This paper extends the Super Poincare algebra to six-dimensional space-time using quaternion analyticity, connecting quaternion Lorentz groups with SL(2;H) spinors for Dirac and Weyl representations.
Contribution
It introduces a quaternion-based framework for the Super Poincare algebra in six dimensions, providing a novel mathematical approach to higher-dimensional supersymmetry.
Findings
Quaternion Lorentz group linked to SO(1,5)
Consistent description of SL(2;H) spinors for Dirac and Weyl
Extension of Poincare algebra to Super Poincare algebra in 6D
Abstract
Super Poincare algebra in D = 6 space-time dimensions has been analysed in terms of quaternion analyticity of Lorentz group. Starting the connection of quaternion Lorentz group with SO(1; 5) group, the SL(2;H) spinors for Dirac & Weyl representations of Poincare group are described consistently to extend the Poincare algebra to Super Poincare algebra for D = 6 space-time.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.